Answer:
1. x=3 x=1
2. x=0
Step-by-step explanation:
We want f(x) to equal g(x)
f(x)=g(x)
1/(x-2) = (x-2)
Using cross products
1 = (x-2) * (x-2)
1 = x^2 -2x-2x+4
Subtract 1 from each side
1-1 = ^2 -2x-2x+4-1
0 = x^2 -4x+3
Factoring
What number multiplies to 3 and adds to -4
-3*-1 = 3
-3+-1 = -4
0= (x-3) (x-1)
Using the zero product property
x-3 =0 x-1=0
x=3 x=1
2. f(x)=x^2+4x+2
g(x)=(1/2)^ x+1
From the graph,we can see they intersect at x=0
2x + 9 = 43 This is the equation.
2x = 34 Subtract 9 from both sides.
x = 17 Divide both sides by 2.
He answered .85, 85% or 17/20 correct on the test.
Answer:
3 minutes
5 minutes.
Step-by-step explanation:
It is given that, Amelia can wash 8 plates in 24 minutes.
So, if this rate remains constant then 1 plate will be washed in 
minutes.
Again, it is given that, Amelia bakes 12 cookies in 60 minutes.
So, if this rate also remains constant then she will bake 1 cookie in 
minutes. ( Answer )
